Упростите выражение: [tex] \frac{(x^{2} y^{3})^{5}}{( x^{2})^{2}. y^{5} } [/tex]. Created by 0neLove. algebra-ru

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Упростите выражение:
[tex] \frac{(x^{2} y^{3})^{5}}{( x^{2})^{2}. y^{5} } [/tex]

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nafanya2014

Verified answer

$\frac{(x^{2} y^{3})^{5}}{( x^{2})^{2}\cdot y^{5} } =\frac{(x^{2} )^5\cdot(y^{3})^{5}}{( x^{2})^{2}\cdot y^{5} } =\frac{x^{10} \cdot y^{15}}{ x^{4}\cdot y^{5} } =x^{10-4}\cdot y^{15-5}=x^6\cdot y^{10}$

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